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Finding the Third Proportional to 4.13 and 11.16

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Solution

The third proportional to 4.13 and 11.16 is: 30.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 11.16 = 11.16 : x
  2. Step 2: Convert to fraction form
    4.13/11.16 = 11.16/x
  3. Step 3: Cross multiply
    4.13x = 11.16 × 11.16
  4. Step 4: Simplify right side
    4.13x = 124.46
  5. Step 5: Solve for x
    x = 124.46/4.13
  6. Step 6: Final answer
    x = 30.17

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.